On Φ -mixing Random Variables

CNU IR > Chna Nan Annual Bulletin > Vol.25 (1999) > Item 310902800/22536

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Title:	On Φ -mixing Random Variables 關於Φ -混合隨機變數
Authors:	Wen-Sz Chiue Chung-Wen Chang Bih-Sheue Shieh
Contributors:	化妝品應用管理系資訊管理系
Keywords:	Φ -mixing stationary almost sure representation weak dependent Φ -混合穩定幾乎處處弱相關
Date:	1999
Issue Date:	2010-04-08 13:05:20 (UTC+8)
Abstract:	Let {Yi:-∞<i<∞} and {Xi:∞<I<∞} be two Φ-mixing stationary sequences of random variables with P (Yi=1)=1-P(Yi=0)=pn. Define Sn=Y1+…+Yn. Then we obtain the rates of the asymptotic almost sure representation of Sn - npn under different Φ-mixing conditions and are used for proving the asymptotic almost sure representation of the empirical distribution function of Xi. 設{Yi:-∞<i<∞}和{Xi:-∞<i<∞}為兩個Φ-混合穩定的隨機變數序列。P (Yi=1) = 1-P(Yi=0) =Pn。定義Sn=Y1+ …+Yn，在不同的Φ-混合條件下，我們分別得到Sn - npn的幾乎處處近似表現率，並用此証明Xi的經驗累積分配函數之幾乎處處近似表現。
Relation:	嘉南學報 25 : p.185-190
Appears in Collections:	[Chna Nan Annual Bulletin] Vol.25 (1999) [Dept. of Cosmetic Science and institute of cosmetic science] Periodical Articles [Dept. of Information Management] Periodical Articles

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